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Householder transformation for A=QR

  1. May 1, 2007 #1
    In one of my homework questions, it requires me to reduce A (a 3X3 matrix) into QR by Householder transformation.

    A is defined as
    4 1 1
    2 4 1
    0 1 4

    However, when I use Householder transformation for column 1, I use to use a = I - 2*vv^T/(v^Tv). However, I find that v^Tv = 0. Since vv^T is a matrix and i have (2/0)*vv^T. So, I stuck at this point and cannot continue to do this question.

    Can anyone tell me what was wrong in my idea or are their solutions to this problem? Thanks.

  2. jcsd
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